Point cloud interpretation and reconstruction of 3D buildings from point clouds has already been addressed for a few decades. There are many articles which consider different methods and workflows of the automatic detection and reconstruction of geometrical objects from point clouds. Each method is suitable for a specific geometry type of object or sensor. General approaches are rare. In our work, we present an algorithm which develops the optimal process sequence of the automatic search, detection and reconstruction of buildings and building components from a point cloud. It can be used for the detection of sets of geometric objects to be reconstructed, regardless of the level of damage. In a real example, we reconstruct a complete Russian Orthodox church starting from a set of detected structural components and reconstruct missing components with high probability.